BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Eknath Ghate (Tata Institute)
DTSTART:20201103T030000Z
DTEND:20201103T035000Z
DTSTAMP:20260423T041527Z
UID:UCLA_NTS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCLA_NTS/16/
 ">Non-admissible modulo $p$ representations of $\\mathrm{GL}_2(\\mathbb{Q}
 _{p^2})$</a>\nby Eknath Ghate (Tata Institute) as part of UCLA Number Theo
 ry Seminar\n\n\nAbstract\nThe notion of admissibility of representations o
 f $p$-adic groups goes back to Harish-Chandra. Jacquet\, Bernstein and Vig
 neras have shown that smooth irreducible representations of connected redu
 ctive $p$-adic groups over algebraically closed fields of characteristic d
 ifferent from $p$ are admissible.\n\nWe use a Diamond diagram attached to 
 a $2$-dimensional reducible split mod $p$ Galois representation of $\\math
 rm{Gal}_{\\mathbb{Q}_{p^2}}$ to construct a non-admissible smooth irreduci
 ble mod $p$ representation of $\\mathrm{GL}_2(\\mathbb{Q}_{p^2})$ followin
 g the approach of Daniel Le.\n\nThis is joint work with Mihir Sheth.\n
LOCATION:https://researchseminars.org/talk/UCLA_NTS/16/
END:VEVENT
END:VCALENDAR